HP 48GII

Full Command and Function Reference 3-95
Input/Output:
Level
n+1
/Argument
1
…Level
2
/Argument
n
Level
1
/Argument
n+1
Level 1/Item 1
obj
1
… obj
n
n
→
{ obj
1
, … ,obj
n
}
See also: →ARRY, LIST→, →STR, →TAG, →UNIT
∆LIST
Type: Command
Description: List Differences Command: Returns the first differences of the elements in a list.
Adjacent elements in the list must be suitable for mutual subtraction.
Access: !´
LIST ∆LIST ( ´ is the left-shift of the Pkey).
Input/Output:
Level 1/Argument 1 Level 1/Item 1
{ list }
→
{ differences }
See also: ΣLIST, ΠLIST, STREAM
ΠLIST
Type: Command
Description: List Product Command: Returns the product of the elements in a list.
The elements in the list must be suitable for mutual multiplication.
Access: !´
LIST ΠLIST ( ´ is the left-shift of the Pkey).
Input/Output:
Level 1/Argument 1 Level 1/Item 1
{ list }
→
product
See also: ΣLIST, ∆LIST, STREAM
ΣLIST
Type: Command
Description: List Sum Command: Returns the sum of the elements in a list.
The elements in the list must be suitable for mutual addition.
Access: !´
LIST ΣLIST ( ´ is the left-shift of the Pkey).
Input/Output:
Level 1/Argument 1 Level 1/Item 1
{ list }
→
sum
See also: ΠLIST, STREAM
LN
Type: Analytic function
Description: Natural Logarithm Analytic Function: Returns the natural (base e) logarithm of the argument.
For x = 0 or (0, 0), an Infinite Result exception occurs, or, if flag –22 is set, –MAXR is returned.
The inverse of EXP is a relation, not a function, since EXP sends more than one argument to the
same result. The inverse relation for EXP is the general solution:
LN(Z)+2*π*i*n1
The function LN is the inverse of a part of EXP, a part defined by restricting the domain of EXP
such that: each argument is sent to a distinct result, and
each possible result is achieved.
The points in this restricted domain of EXP are called the principal values of the inverse relation.
LN in its entirety is called the principal branch of the inverse relation, and the points sent by LN to
the boundary of the restricted domain of EXP form the branch cuts of LN.
The principal branch used by the hp49g+/hp48gII for LN was chosen because it is analytic in
the regions where the arguments of the real-valued inverse function are defined. The branch cut